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Conference Papers Year : 2021

New Features of P3$\delta$ software: Partial Pole Placement via Delay Action

Abstract

This paper presents the software Partial Pole Placement via Delay Action, or P3$\delta$ for short. P3$\delta$ is a Python software with a friendly user interface for the design of parametric stabilizing feedback laws with time-delays, thanks to two properties of the distribution of quasipolynomials' zeros, called multiplicity-induced-dominancy and coexisting real roots-induced-dominancy. After recalling recent theoretical results on these properties and their use for the feedback stabilization of control systems operating under time delays, the paper presents the main features of the current version of P3$\delta$. We detail, in particular, the assignable admissible region (the set of allowable dominant roots and the corresponding delay), which helps the user in the choice of input information, allowing a reliable stabilizing delayed feedback. We also present the newly set online version of P3$\delta$.
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Dates and versions

hal-03298710 , version 1 (23-07-2021)
hal-03298710 , version 2 (17-08-2021)

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Islam Boussaada, Guilherme Mazanti, Silviu-Iulian Niculescu, Adrien Leclerc, Jayvir Raj, et al.. New Features of P3$\delta$ software: Partial Pole Placement via Delay Action. TDS 2021 - 16th IFAC Workshop on Time Delay Systems, Sep 2021, Guangzhou, China. pp.215-221, ⟨10.1016/j.ifacol.2021.11.142⟩. ⟨hal-03298710v2⟩
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